By using [1]}, the Gauss hypergeometric function can be expressed in terms of Meijer G-function as
\({{}_2{F_1}\left( {1,{N_r} - M + 1;{N_r}; - s{\lambda _1}} \right)}=\\\frac{{\Gamma \left( {{N_r}} \right)}}{{\Gamma \left( {{N_r} - M + 1} \right)}}G_{2,2}^{1,2}\left( {\left. {\begin{array}{*{20}{c}}{0,M - {N_r}}\\{0,1 - {N_r}}\end{array}} \right|s{\lambda _1}} \right).\) 
